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Incremental Hole Drilling Residual Stress Measurement in Thin Aluminum Alloy Plates Subjected to Laser Shock Peening

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The American standard ASTM E837 presents a standard procedure to determine residual stresses in isotropic materials using the incremental hole drilling technique (IHD). The standard, however, presents limitations regarding its applicability, such as those related with the thin thickness of the samples. According to this standard, in depth non uniform residual stresses can only be determined, roughly, in plates where the thickness is greater than the mean diameter of the strain gage rosette used. This limitation excludes important experimental cases and, therefore, deserves to be investigated. In this work this limitation is numerically and experimentally investigated in detail, considering the case of residual stresses induced by laser shock peening (LSP) in aluminum alloy 7075-T651 plates. The obtained results using the incremental hole drilling technique (IHD), based on the integral method, are benchmarked against the results of several diffraction techniques, used as reference, and a procedure to correct the experimentally determined strain-depth relaxation curves, to accurately still apply the ASTM E837 standard procedure is discussed and validated.

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  1. 1.

    ASTM E837-13a (2013) Standard test method for determining residual stresses by the hole-drilling strain-gage method, ASTM International, West Conshohocken, PA,

  2. 2.

    Schajer GS, Whitehead PS (2018) Hole-drilling method for measuring residual stresses. Synthesis SEM Lectures on Experimental Mechanics 1(1):1–186.

  3. 3.

    Frija M, Hassine T, Fathallah R, Bouraoui C, Dogui A (2006) Finite element modelling of shot peening process: prediction of the compressive residual stresses, the plastic deformations and the surface integrity. Mater Sci Eng A 426(1):173–180.

  4. 4.

    Hammond DW, Meguid SA (1990) Crack propagation in the presence of shot peening residual stresses. Eng Fract Mech 37(2):373–387.

  5. 5.

    Furfari D (2014) Laser shock peening to repair, design and manufacture current and future aircraft structures by residual stress engineering. Adv Mater Res 891-892:992–1000.

  6. 6.

    García-Granada AA, Gomez-Gras G, Jerez-Mesa R, Travieso-Rodriguez JA, Reyes G (2017) Ball-burnishing effect on deep residual stress on AISI 1038 and AA2017-T4. Mater Manuf Process 32(11):1279–1289.

  7. 7.

    Troiani E, Taddia S, Meneghin I, Molinari G (2014) Fatigue crack growth in laser shock peened thin metallic panels. Adv Mater Res 996:775–781.

  8. 8.

    Ocaña JL, Correa C, García-Beltrán A, Porro JA, Díaz M, Ruiz-de-Lara L, Peral D (2015) Laser shock processing of thin Al2024-T351 plates for induction of through-thickness compressive residual stresses fields. J Mater Process Technol 223:8–15.

  9. 9.

    Petan L, Ocaña JL, Grum J (2016) Effects of laser shock peening on the surface integrity of 18% Ni Maraging steel. Strojniški vestnik - Journal of Mechanical Engineering 62(5):291–298.

  10. 10.

    Prime MB (2000) Cross-sectional mapping of residual stresses by measuring the surface contour after a cut. J Eng Mater Technol 123(2):162–168.

  11. 11.

    Kartal ME (2013) Analytical solutions for determining residual stresses in two-dimensional domains using the contour method. Proceedings of the Royal Society a: mathematical, physical and engineering sciences 469(2159):20130367.

  12. 12.

    Kartal ME, Liljedahl CDM, Gungor S, Edwards L, Fitzpatrick ME (2008) Determination of the profile of the complete residual stress tensor in a VPPA weld using the multi-axial contour method. Acta Mater 56(16):4417–4428.

  13. 13.

    Staden SNV, Polese C, Glaser D, Nobre JP, Venter AM, Marais D, Okasinski J, Park J-S (2018) Measurement of Residual Stresses in Different Thicknesses of Laser Shock Peened Aluminium Alloy Samples. Materials Research Proceedings 4:117–122.

  14. 14.

    Toparli MB (2012) Analysis of residual stress fields in aerospace materials after laser peening. PhD Dissertation, The Open University, Milton Keynes, UK

  15. 15.

    Toparli MB, Fitzpatrick ME (2016) Development and application of the contour method to determine the residual stresses in thin laser-peened Aluminium alloy plates. Exp Mech 56(2):323–330.

  16. 16.

    Held E, Schuster S, Gibmeier J (2014) Incremental hole-drilling method Vs. thin components: a simple correction approach. Adv Mater Res 996:283–288.

  17. 17.

    Sobolevski EG (2007) Residual stress analysis of components with real geometries using the incremental hole-drilling technique and a differential evaluation method. PhD dissert., Kassel University, Kassel, Germany

  18. 18.

    Gore B, Nobre JP (2016) Effects of numerical methods on residual stress evaluation by the incremental hole-drilling technique using the integral method. Materials research proceedings 2:587–592.

  19. 19.

    Schajer GS (1988) Measurement of non-uniform residual stress using the hole-drilling method. Part II-practical application of the integral method. Journal of Eng mat and tech (ASME) 110(4):344–349.

  20. 20.

    Magnier A, Zinn W, Niendorf T, Scholtes B (2019) Residual stress analysis on thin metal sheets using the incremental hole drilling method – fundamentals and validation. Exp Tech 43(1):65–79.

  21. 21.

    Schuster S, Steinzig M, Gibmeier J (2017) Incremental hole Drilling for Residual Stress Analysis of thin walled components with regard to plasticity effects. Exp Mech 57(9):1457–1467.

  22. 22.

    Nobre JP, Kornmeier M, Scholtes B (2018) Plasticity effects in the hole-drilling residual stress measurement in peened surfaces. Exp Mech 58(2):369–380.

  23. 23.

    Schajer GS, Whitehead PS (2018) Hole-drilling method for measuring residual stresses, vol 1. Synthesis SEM Lectures on Experimental Mechanics, vol 1. Morgan & Claypool Publishers. doi:

  24. 24.

    Lorentzen T (2003) Anisotropy of lattice strain response. In: Fitzpatrick M, Lodini A (eds) Analysis of residual stress by diffraction using neutron and synchrotron radiation. CRC Press, London

  25. 25.

    ASM Handbook (1990), vol 2. Properties and Selection: Nonferrous Alloys and Special-Purpose Materials. ASM International

  26. 26.

    Macherauch E, Müller P (1961) Das sin2y-Verfahren der Röntgenographischen Spannungsmessung. Zeitschrift für Angewandte Physik 13:305–312

  27. 27.

    ANSYS I (2013) ANSYS Mechanical APDL Theory Reference. Release 15.0 edn. SAS IP, Inc., Canonsburg, USA

  28. 28.

    Schajer GS (1981) Application of finite element calculations to residual stress measurements. Journal of Eng mat and tech (ASME) 103(2):157–163.

  29. 29.

    Kornmeier M (1999) Analyse von Abschreck- und Verformungseigenspannungen mittels Bohrloch- und Röntgenverfahren. PhD Dissertation, Universität Gh Kassel, Kassel, Germany

  30. 30.

    Schajer GS (1993) Use of displacement data to calculate strain gauge response in non-uniform strain fields. Strain 29(1):9–13.

  31. 31.

    Correa C, Peral D, Porro JA, Díaz M, Ruiz de Lara L, García-Beltrán A, Ocaña JL (2015) Random-type scanning patterns in laser shock peening without absorbing coating in 2024-T351 Al alloy: a solution to reduce residual stress anisotropy. Opt Laser Technol 73:179–187.

  32. 32.

    ANSYS I (2013) ANSYS advanced analysis techniques. SAS IP, Inc., Canonsburg

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The authors would like to acknowledge the DSI-NRF Centre of Excellence in Strong Materials (CoE-SM) for their financial support. They would also like to acknowledge the vital support of the South African Centre for Scientific and Industrial Research National Laser Centre’s (CSIR NLC) Rental Pool Program (RPP), funded by the Department of Science and Innovation (DSI). In addition, this work is based on the research supported in part by the National Research Foundation (NRF) of South Africa through the Incentive Funding for Rated Researchers (IFRR), Equipment-Related Travel and Training Grant (ERTTG) (Grant Numbers: 109200 and 115195) and under the Competitive Programme for Rated Researchers (Grant Number: 106036). Opinions, findings and conclusions or recommendations expressed in this work are those of the authors and are not necessarily to be attributed to the CoE-SM or to the NRF. Finally a special acknowledge to Dr. Daniel Glaser from CSIR for his precious assistance on LSP technology.

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Correspondence to J. P. Nobre.

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Nobre, J.P., Polese, C. & van Staden, S.N. Incremental Hole Drilling Residual Stress Measurement in Thin Aluminum Alloy Plates Subjected to Laser Shock Peening. Exp Mech (2020).

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  • Residual stress
  • Hole drilling method
  • Thin plates, laser shock peening
  • X-ray diffraction
  • Neutron diffraction
  • Energy dispersive synchrotron X-ray diffraction